| 2p^4阶3次s-正则图的自同构群 |
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| 引用本文： | 陈尚弟,郭艳红.2p^4阶3次s-正则图的自同构群[J].中国民航学院学报,2009,27(6):51-54. |
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| 作者姓名： | 陈尚弟 郭艳红 |
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| 作者单位： | 中国民航大学理学院,天津300300 |
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| 基金项目： | 国家自然科学基金项且，天津市自然科学基金项目，中国民航大学科研基金项目 |
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| 摘 要： | 为研究正则图的性质和自同构群,运用p4阶群的性质和分类,以及图的传递性和图的覆盖理论,获得了2p^4阶3次s-正则图的一些性质,其中p〉7,1≤s≤5。证明了这类图是Cayley图,并刻画出了这类图的自同构群。
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| 关 键 词： | Cayley图 自同构群 正则图 |
Automorphism Group of Cubic s-Regular Graphs of Order 2p4 |
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| CHEN Shang-di,GUO Yan-hong.Automorphism Group of Cubic s-Regular Graphs of Order 2p4[J].Journal of Civil Aviation University of China,2009,27(6):51-54. |
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| Authors: | CHEN Shang-di GUO Yan-hong |
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| Institution: | (College of Science, CA UC, Tianjin 300300, China) |
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| Abstract: | The main aim of the paper is studying the properties and automorphism groups of regular graphs.Using the properties and classification of the groups of order p4,the transitive properties and covering techniques of graphs,we give some properties of the regular connected cubic symmetric graphs of order 2p^4 for each prime p〉7 and each 1≤s≤5.It is proved by us that these graphs are Cayley graphs.The automorphism groups of these graphs are described too. |
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| Keywords: | Cayley graph automorphism group regular graph |
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